File Format:PDF/Adobe Acrobat -Quick ViewNext Selection Test: Paper 3. Oundle School. 31st May 2011. 1. If X is a set of integers, define D(X) to be the set of differences between elements of X: D(X) = {n...

File Format:PDF/Adobe Acrobat -Quick View1. 2. 5. 4. Further International Selection Test. May l'7, 1972. Time 5 Fours. Only your best 5 answers will score,. Show ho-sf to assign to the vertices of a regular...

File Format:PDF/Adobe Acrobat -Quick ViewNext Selection Test: Paper 4. Oundle School. 1st June 2011. 1. Let A be the set of all integers of the form a2 + 13b2, where a and b are integers and b is nonzero...

File Format:PDF/Adobe Acrobat -Quick View1. 2. 3. Oundle Test 4. 30 May 2007. Consider triangle ABC'. B1 is on the line AC and the line BB1 passes through the incentre I. The point C1 is similarly deﬁned...

File Format:PDF/Adobe Acrobat -Quick ViewFirst Selection Test: Paper 2. Trinity College, Cambridge. 18th April 2011. 1. For any positive integer n, let an be the exponent of the largest power of 2 which...

File Format:PDF/Adobe Acrobat -Quick ViewFST 1 2010. Trinity College, Cambridge. 10th April 2010. 1. Find all polynomials P(x) with real coefficients which have the property that if a is a real number and...